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Finding the Third Proportional to 4,441,101 and 9,685,374

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Solution

The third proportional to 4,441,101 and 9,685,374 is: 21,122,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,101 : 9,685,374 = 9,685,374 : x
  2. Step 2: Convert to fraction form
    4,441,101/9,685,374 = 9,685,374/x
  3. Step 3: Cross multiply
    4,441,101x = 9,685,374 × 9,685,374
  4. Step 4: Simplify right side
    4,441,101x = 93,806,469,519,876
  5. Step 5: Solve for x
    x = 93,806,469,519,876/4,441,101
  6. Step 6: Final answer
    x = 21,122,345.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.